3 batteries of emf 9,10 and 12V and internal resistance of 1,2 and 3 ohms respectively are connected in parallel with each other. The combination sends current to an external resistance of 6 ohms. Find the current through the 6 ohm resistance and through each of the battery.  

Asked by Jerrin Thomas | 23rd Jul, 2014, 07:47: PM

Expert Answer:

The circuit is as shown below
 
 
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According to Kirchhoff's current law, we have
 
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Let V be the potential difference across the points A and B, then we have
 
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Substituting equation (2) in (1), we get
 
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Hence, calculating the value of E and r, we have
 
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The parallel combination of cells provides current to external resistance R. Hence, we have
 
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Hence, the current through the 6 ohm resistor is 1.64 Ω.
 
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Hence, the current through each cell is
 
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Answered by Romal Bhansali | 24th Jul, 2014, 10:39: AM

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